Research Article
Mar 1970

Mathematical Models of Location: A Review

Publication: Journal of the Urban Planning and Development Division
Volume 96, Issue 1

Abstract

Recent models of location are drawn together and compared as to structure, criteria, and constraints. Private sector models are distinguished as those in which the total cost of transport and facilities is isolated as the objective to be minimized. The solution techniques of six such models are presented. Public sector models are characterized by a criterion function involving a surrogate for social utility and by a constraint on investment in facilities or on the number of facilities. Five models with this format are described and compared. The two types of program, location in the private sector and location in the public sector, are seen to have the same conceptual foundation, but have formats which necessarily differ due to the inability to relate social utility to dollar value.

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Journal of the Urban Planning and Development Division
Volume 96Issue 1March 1970
Pages: 81 - 93

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Published in print: Mar 1970
Published online: Feb 12, 2021

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David H. Marks, AM.ASCE
Asst. Prof. of Civ. Engrg., MIT, Cambridge, Mass.; formerly Graduate Fellow and Research Assoc., Dept. of Geography and Environmental Engrg., The Johns Hopkins Univ., Baltimore, Md.
Charles S. ReVelle
Asst. Prof. of Civ. Engrg., Cornell Univ., Ithaca, N.Y.; formerly Visiting Asst. Prof. of Environmental Engrg., The Johns Hopkins Univ., Baltimore, Md.
Jon C. Liebman, M.ASCE
Assoc. Prof. of Environmental Engrg., The Johns Hopkins Univ., Baltimore, Md.

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